Optimisation talks at UNSW: Vinesha Peiris and Didier Aussel

August is a busy month for UNSW’s optimisation group: there will be three talks given by visitors at the School of Mathematics and Statistics.

11 August 2022: Dr Vinesha Peiris (Deakin University), Rational Approximation in EEG signal classification

Speaker: Vinesha Peiris (Deakin University)
Date: 11/08/22, 11am
Rational approximation and its application in EEG signal classification

Rational approximation (that is, approximation by a ratio of two polynomials) is a flexible alternative to polynomial approximation. In particular, rational functions exhibit accurate estimations to nonsmooth and non-Lipschitz functions, where polynomial approximations are not efficient. In this talk, we discuss the quasiconvexity property of the optimisation problems appearing in univariate rational Chebyshev approximation and its generalisation to a ratio of linear combinations of basis functions. This fact can be used in the development of computational methods. Then we apply our approximation as a preprocessing step to classify EEG signals and demonstrate that the classification accuracy is significantly improved compared to the classification of the raw signals.

This is a hybrid talk, delivered in-person in RC-4082 and online on Zoom with the following link and passcode.

Link: https://unsw.zoom.us/j/81997494743?pwd=ekZ0SlJoZ2hqWFNGMVdxR3psZFVadz09
Passcode: 704577

The talk is part of the Applied Mathematics Seminar Series at the School of Mathematics and Statistics, UNSW Sydney. We are grateful to the seminar coordinator Dr Michael Watson for organising this event.

19 August 2022: Prof. Didier Aussel (University of Perpignan), Recent advances bilevel optimization with several players: multi-leader-follower games.

Speaker: Didier Aussel (University of Perpignan)
Date: Friday 19 August 2022, 11am AEST (Sydney time)
Title: Recent Advances in Bilevel Optimization with Several Players: Multi-Leader-Follower Games

Multi-Leader-Follower games are perfect mathematical tools for the modelling of agents interactions on a market in which some of the agents have some leading position while a set of the other agents are competing in a non cooperative way. These models are known for decades but recent advances opened the door to new developments and applications. Motivated by applications in energy management the aim of this seminar will be to consider modern approaches of well-posedness, first order reformulation and existence results for Multi-Leader-Follower games.

This is a hybrid talk, delivered in-person in RC-4082 and online on Zoom with the following link and passcode.

Zoom Link: https://unsw.zoom.us/j/89935594957?pwd=TzExZUNKci9raDVzdWZSa2RMckhydz09
Passcode: 843637

The talk is part of the Applied Mathematics Seminar Series at the School of Mathematics and Statistics, UNSW Sydney. We are grateful to the seminar coordinator Dr Michael Watson for organising this event.

24 August 2022: Prof. Didier Aussel (University of Perpignan), Quasiconvex nonsmooth optimization through the normal approach

Speaker: Didier Aussel (University of Perpignan)
Date: Wednesday 24 August 2022, 11am AEST (Sydney time)
Title: Quasiconvex nonsmooth optimization through the normal approach

Location: Hybrid in RC-4082 and via zoom. Please contact Hongzhi Liao (hongzhi.liao@unsw.edu.au) for the zoom link.

The talk is part of the Convex Geometry Reading Group Series at UNSW Sydney. More info: https://www.mocao.org/cg/.